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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 218 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 3x + 17 = x + 27, what is x? (a) 6 (b) 22 (c) 5 (d) 7
  2. 2.If 3x + 12 = 2x + 13, what is x? (a) 25 (b) 1 (c) 3 (d) 2
  3. 3.If 7x + 2 = 4x + 20, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  4. 4.If 4x − 20 = 24, what is x? (a) 1 (b) 44 (c) 12 (d) 11
  5. 5.If 3x + 4 = 46, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  6. 6.If 8x − 22 = 74, what is x? (a) 96 (b) 13 (c) 12 (d) 11
  7. 7.If x/6 + 14 = 21, what is x? (a) 42 (b) 7 (c) 210 (d) 112
  8. 8.If 7x + 1 = 4x + 28, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  9. 9.If 7x + 4 = 4x + 31, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  10. 10.If x/6 + 9 = 11, what is x? (a) 2 (b) 57 (c) 120 (d) 12
  11. 11.If 5x + 17 = x + 29, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  12. 12.If x/5 + 8 = 16, what is x? (a) 8 (b) 40 (c) 72 (d) 120
  13. 13.If 5x + 4 = 19, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  14. 14.If 7x + 3 = 94, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  15. 15.If 8x + 7 = 3x + 32, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  16. 16.If 7x − 75 = 9, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  17. 17.If x/4 + 3 = 12, what is x? (a) 9 (b) 60 (c) 36 (d) 45
  18. 18.If 4x − 22 = 18, what is x? (a) 40 (b) 9 (c) 10 (d) 11
  19. 19.If x/3 + 12 = 15, what is x? (a) 9 (b) 33 (c) 3 (d) 81
  20. 20.If 9x + 15 = 5x + 39, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  21. 21.If 2x + 21 = 27, what is x? (a) 24 (b) 3 (c) 6 (d) 4
  22. 22.If 6x + 18 = 2x + 30, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  23. 23.If x/5 + 11 = 22, what is x? (a) 99 (b) 11 (c) 165 (d) 55
  24. 24.If 7x + 3 = 6x + 7, what is x? (a) 10 (b) 5 (c) 6 (d) 4
  25. 25.If 2x + 12 = 32, what is x? (a) 22 (b) 11 (c) 20 (d) 10
  26. 26.If x/6 + 1 = 6, what is x? (a) 5 (b) 30 (c) 42 (d) 35
  27. 27.If x/6 + 2 = 10, what is x? (a) 72 (b) 8 (c) 58 (d) 48
  28. 28.If 3x + 7 = 2x + 16, what is x? (a) 10 (b) 23 (c) 9 (d) 11
  29. 29.If 9x + 23 = 140, what is x? (a) 12 (b) 14 (c) 117 (d) 13
  30. 30.If x/4 + 3 = 13, what is x? (a) 40 (b) 64 (c) 49 (d) 10
  31. 31.If 8x + 13 = 5x + 40, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  32. 32.If 9x − 81 = 36, what is x? (a) 13 (b) 117 (c) 14 (d) 12
  33. 33.If 8x + 22 = 38, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  34. 34.If 7x + 20 = 2x + 35, what is x? (a) 3 (b) 11 (c) 5 (d) 4
  35. 35.If 8x + 5 = 2x + 23, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  36. 36.If 5x − 8 = 12, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  37. 37.If 7x + 2 = 65, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  38. 38.If 3x + 17 = x + 31, what is x? (a) 8 (b) 9 (c) 24 (d) 7
  39. 39.If 4x + 11 = 3x + 18, what is x? (a) 7 (b) 8 (c) 29 (d) 1
  40. 40.If 5x + 12 = 3x + 36, what is x? (a) 12 (b) 24 (c) 3 (d) 13

Answer key

  1. 5
  2. 1
  3. 6
  4. 11
  5. 14
  6. 12
  7. 42
  8. 9
  9. 9
  10. 12
  11. 3
  12. 40
  13. 3
  14. 13
  15. 5
  16. 12
  17. 36
  18. 10
  19. 9
  20. 6
  21. 3
  22. 3
  23. 55
  24. 4
  25. 10
  26. 30
  27. 48
  28. 9
  29. 13
  30. 40
  31. 9
  32. 13
  33. 2
  34. 3
  35. 3
  36. 4
  37. 9
  38. 7
  39. 7
  40. 12

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